268615062000 has 640 divisors, whose sum is σ = 1051818393600. Its totient is φ = 65235456000.

The previous prime is 268615061993. The next prime is 268615062011. The reversal of 268615062000 is 260516862.

268615062000 is a `hidden beast` number, since 26 + 8 + 6 + 1 + 5 + 0 + 620 + 0 + 0 = 666.

268615062000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28453281 + ... + 28462719.

It is an arithmetic number, because the mean of its divisors is an integer number (1643466240).

Almost surely, 2^268615062000 is an apocalyptic number.

268615062000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268615062000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525909196800).

268615062000 is an abundant number, since it is smaller than the sum of its proper divisors (783203331600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268615062000 is a wasteful number, since it uses less digits than its factorization.

268615062000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 268615062000 its reverse (260516862), we get a palindrome (268875578862).

The spelling of 268615062000 in words is "two hundred sixty-eight billion, six hundred fifteen million, sixty-two thousand".